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230840649 = 32132151769
BaseRepresentation
bin11011100001001…
…01100101001001
3121002100220211200
431300211211021
5433043400044
634523414413
75502053544
oct1560454511
9532326750
10230840649
11109337aa6
1265384409
1338a94b00
142292d85b
15153ec369
hexdc25949

230840649 has 18 divisors (see below), whose sum is σ = 361060830. Its totient is φ = 142054848.

The previous prime is 230840639. The next prime is 230840677. The reversal of 230840649 is 946048032.

It is a happy number.

230840649 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 4 + 0 + 649 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 20793600 + 210047049 = 4560^2 + 14493^2 .

It is not a de Polignac number, because 230840649 - 212 = 230836553 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230840639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 74364 + ... + 77405.

It is an arithmetic number, because the mean of its divisors is an integer number (20058935).

Almost surely, 2230840649 is an apocalyptic number.

It is an amenable number.

230840649 is a deficient number, since it is larger than the sum of its proper divisors (130220181).

230840649 is a wasteful number, since it uses less digits than its factorization.

230840649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151801 (or 151785 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 230840649 is about 15193.4409861624. The cubic root of 230840649 is about 613.4381228156.

The spelling of 230840649 in words is "two hundred thirty million, eight hundred forty thousand, six hundred forty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 151769 455307 1365921 1972997 5918991 17756973 25648961 76946883 230840649